Of Course, Folsom-Era guns were not predecessors of the L C Smith.
However the earlies L C Smiths were marked;
"L C Smith, Maker of the Baker Gun."

I believe it was McIntosh once stated, Baker Designed it, Alexander Brown Improved it & the Fultons Built it, Just Who was L C Smith??

Miller/TN
I Didn't Say Everything I Said, Yogi Berra